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3 years ago

What is the base of a parallelogram with height 6.2 meters and an area of 80.6 square meters

2 answers:

5 0

Area of a Parallelogram = b * h
80.6 = b * 6.2

Make b the subject of the formula by dividing both sides by 6.2
80.6 / 6.2 = b * 6.2 / 6.2
13 = b
Also,
b = 13 meters
base of parallelogram = 13 meters

b = base of parallelogram, h = height of parallelogram, A = Area of parallelogram.

Diano4ka-milaya [45]3 years ago

4 0

80.6 / 6.2 = 13

I think the base is 13 meters.

Formula is area = b times height

Hope this helped

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Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

4 0

3 years ago

Can someone explain how to solve this?

Irina18 [472]

Answer:

(-8,8)

Step-by-step explanation:

Simplify |n| + 4 < 12. To do this, subtract 4 from both sides. This results in:

|n| < 8. The solution set includes all real numbers between -8 and 8, but not -8 itself or 8 itself.

3 0

3 years ago

NEED HELP ASAP

balu736 [363]

Answer:

∠4 and ∠3

∠4 and ∠5

∠3 and ∠6

Step-by-step explanation:

A pair of angles is said to be supplementary when the 2 angles add up to give 180°.

Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.

Thus, since m< 3 is given as 90°, m<4 = 90°.

m<4 + m<3 = 180°.

Therefore, <4 and <3 are supplementary.

<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.

6 0

3 years ago

The perimeter of a rectangle is 26 cm. The rectangle has a length of 8 cm. What is the width of the rectangle?

zvonat [6]

Answer:

A. 2(8)+2(w)=26

B. 16+2w=26

Subtract 16 from both sides of the equation

2w=10

Divide both side by 2

The width is 5

Step-by-step explanation:

3 0

3 years ago

There are 70 marbles in the bag. The bag has 39 green? marbles, 24 red? marbles, and 7 yellow marbles. Sasha selects a marble fr

netineya [11]

Answer:

14/20

Explanation:

Sasha tried to get a marble 20 times. 14 of those times she got a yellow marble.

The experimental probability, which is the probability of choosing a yellow marble when Sasha actually tries choosing marbles from the bag.

The theoretical probability is based on the chance that Sasha will get a yellow marble, 7/70, is from the amount of marbles in the bag of yellow colour.

8 0

3 years ago